gwyneth27
gwyneth27 gwyneth27
  • 01-11-2021
  • Mathematics
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sqdancefan
sqdancefan sqdancefan
  • 01-11-2021

9514 1404 393

Answer:

  a) y = -18x +200

  b) 38 gallons

Step-by-step explanation:

a)

The slope formula can be used to find the slope:

  m = (y2 -y1)/(x2 -x1)

  m = (110 -137)/(5 -3.5) = -27/1.5 = -18

The y-intercept can be found from ...

  b = y -mx = 110 -(-18)(5) = 200

The slope-intercept equation describing the relation is ...

  y = -18x +200

__

b)

After 9 hours, the amount of gas remaining is ...

  y = -18(9) +200 = -162 +200 = 38 . . . gallons remaining

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